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Publications Influence

Word symmetric functions and the Redfield-Pólya theorem

- J. Luque, Ali Chouria, Jean-Paul Bultel, O. Mallet
- Mathematics
- 23 February 2013

We give noncommutative versions of the Redfield-Polya theorem in WSym, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.

8- PDF

Word Bell Polynomials

Partial multivariate Bell polynomials have been de ned by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities etc. Many of the formulæ… Expand

4- PDF

Bell polynomials in combinatorial Hopf algebras

- A. Aboud, Jean-Paul Bultel, Ali Chouria, J. Luque, O. Mallet
- Mathematics
- 12 February 2014

Partial multivariate Bell polynomials have been defined by E.T. Bell in 1934. These polynomials have numerous applications in Combinatorics, Analysis, Algebra, Probabilities etc. Many of the formulæ… Expand

6- PDF

Algèbres de Hopf combinatoires sur les partitions d'ensembles et leurs généralisations : applications à l'énumération et à la physique théorique

- Ali Chouria
- Mathematics
- 2016

Cette these s’inscrit dans le domaine de la combinatoire algebrique et enumerative. Elle est consacree a l’etude des problemes d’enumeration en utilisant des algebres de Hopf combinatoires, en… Expand

1

On recursively defined combinatorial classes and labelled trees

- Ali Chouria, Vlad-Florin Dragoi, J. Luque
- Mathematics, Computer Science
- ArXiv
- 8 April 2020

TLDR

Word symmetric functions and the Redfield-P\'olya

- J. Luque, Ali Chouria, Jean-Paul Bultel, O. Mallet
- Mathematics
- 23 February 2013

We give noncommutative versions of the Redfield-P\'olya theorem in WSym, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.

2

Redfield-Pólya theorem in WSym

- Jean-Paul Bultel, Ali Chouria, J. Luque, O. Mallet
- Mathematics
- 7 February 2013

We give noncommutative versions of the Redfield-Polya theorem in WSym , the algebra of word symmetric functions, and in other related combinatorial Hopf algebras. Resume. Nous donnons des versions… Expand

1

A combinatorial Hopf algebra for the boson normal ordering problem

- Imad Eddine Bousbaa, Ali Chouria, J. Luque
- Mathematics, Physics
- 18 December 2015

In the aim to understand the generalization of Stirling numbers occurring in the bosonic normal ordering problem, several combinatorial models have been proposed. In particular, Blasiak \emph{et al.}… Expand

r-Bell polynomials in combinatorial Hopf algebras

- Ali Chouria, J. Luque
- Mathematics, Computer Science
- ArXiv
- 13 July 2016

TLDR

8- PDF

Redfield-Pólya theorem in $\mathrm{WSym}$

- Jean-Paul Bultel, Ali Chouria, J. Luque, O. Mallet
- Mathematics
- 2013

We give noncommutative versions of the Redfield-Polya theorem in $\mathrm{WSym}$, the algebra of word symmetric functions, and in other related combinatorial Hopf algebras.